How to close view windows?
Click and drag on the corner with the grabber (same one for making a new window) and drag DIRECTLY over the neighboring panel that you want to make disappear (if you drag anywhere else, you'll make a new panel). This will make a grey arrow which shows you which panel will get put on top of the other. Release the mouse button when your cursor is over the panel you want to go away.
Two caveats:

when you click and drag, you must immediately cross the boundary between two panels, before dragging anywhere else. THEN it will make the grey arrow. If you click and drag into the same panel, you'll create a new panel.
you can only join two windows that share a COMPLETE edge. If you have one full window on the left, and two windows (one on top of the other) on the right, then you have to join the two windows on the right together before you can join the window on the left.

Now, using this knowledge, you have a bit of a puzzle to solve. You have to close each of the windows in the red square individually. So I'd start with the smallest one first. Join it with the one with which it shares a complete edge, and the go to the next-smallest.
This is exactly what you need: http://www.youtube.com/watch?v=AMBi1R7KB48